Magnetic
Resonance Electrical Properties Tomography (MREPT) Based on the Solution of
the Convection-Reaction Equation

Currently available practical MREPT methods
reconstruct electrical properties within local homogeneous regions where
conductivity (&#963;) and permittivity (&#949;) values are almost constant.
In this study, we propose a novel algorithm named convection-reaction
equation based MREPT (cr-MREPT) which reconstructs &#963; and &#949;
also in transition regions where &#963; and &#949; vary. In regions
where convective field of the convection-reaction equation is small, some
reconstruction artifacts appear. Solution for this artifact is also proposed
and demonstrated. The overall algorithm is tested using both simulated and
experimental data from phantoms and successful reconstructions are obtained.